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Finding the Fourth Proportional to 9,846.88, 14,770.32 and 4,001.92

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Solution

The fourth proportional to 9,846.88, 14,770.32 and 4,001.92 is: 6,002.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,846.88 : 14,770.32 = 4,001.92 : x
  2. Step 2: Convert to fraction form
    9,846.88/14,770.32 = 4,001.92/x
  3. Step 3: Cross multiply
    9,846.88x = 14,770.32 × 4,001.92
  4. Step 4: Simplify right side
    9,846.88x = 59,109,639.01
  5. Step 5: Solve for x
    x = 59,109,639.01/9,846.88
  6. Step 6: Final answer
    x = 6,002.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.